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Finding the Third Proportional to 3,429,536.25 and 5,262,881.63

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Solution

The third proportional to 3,429,536.25 and 5,262,881.63 is: 8,076,288.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,429,536.25 : 5,262,881.63 = 5,262,881.63 : x
  2. Step 2: Convert to fraction form
    3,429,536.25/5,262,881.63 = 5,262,881.63/x
  3. Step 3: Cross multiply
    3,429,536.25x = 5,262,881.63 × 5,262,881.63
  4. Step 4: Simplify right side
    3,429,536.25x = 27,697,922,998,762.64
  5. Step 5: Solve for x
    x = 27,697,922,998,762.64/3,429,536.25
  6. Step 6: Final answer
    x = 8,076,288.16

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.